Answer
v=-35
explanation
add -4 and -31 to get v which is -35
The answer is A. If 9 pencils cost $7.74, we have to divide the total cost ($7.74) by the number of pencils (9) to obtain the price of 1 pencil. Now that we have the price of 1 pencil, to obtain the cost of 6 of them we simply multiply the result by six.
Answer:
C = 75 + 0.17x and R = 2x
2x - (75 + 0.17x) > 0
x ≥ 41
Step-by-step explanation:
The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcakes made and the selling price of each cupcake is $2.00.
Part A: Now, the equation for the cost, C, for making x cupcakes is
C = 75 + 0.17x ......... (1)
Again the equation for the revenue, R, from selling x cupcakes is
R = 2x ............ (2)
Part B: So, the inequality that could be solved to find the number of cupcakes, x, that must be made and sold to make a profit is
R - C > 0
2x - (75 + 0.17x) > 0 ......... (3)
Part C: Solving inequality (3) we get
(2 - 0.17)x > 75
⇒ x > 40.98
⇒ x ≥ 41 {Since, x can not be a fraction}
(Answer)
Answer:
Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.
y=5/4x+9/4
Step-by-step explanation:
Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.
To calculate the equation of the line, use the y=mx+b format.
Slope is equal to the change in y over the change in x , or rise over run.
m=(change in y)/(change in x)
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=(y2−y1)/(x2−x1)
Substitute in the values of x and y into the equation to find the slope.
m=1−(6)/−1−(3)
Finding the slope m.
m=5/4
Find the value of b
using the formula for the equation of a line.
b=9/4
Ax + By = C
3x + 2y = 12
A=3, B = 2 and C = 12
